2000 Free Response

Among its best known programs are the sat the

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Unformatted text preview: g. Among its best-known programs are the SAT®, the PSAT/NMSQT®, the Advanced Placement Program® (AP®), and Pacesetter®. The College Board is committed to the principles of equity and excellence, and that commitment is embodied in all of its programs, services, activities, and concerns. Copyright © 2000 by College Entrance Examination Board and Educational Testing Service. All rights reserved. College Board, Advanced Placement Program, AP, and the acorn logo are registered trademarks of the College Entrance Examination Board. 2000 AP® CALCULUS AB FREE-RESPONSE QUESTIONS CALCULUS AB SECTION II, Part A Time—45 minutes Number of problems—3 A graphing calculator is required for some problems or parts of problems. 2 1. Let R be the shaded region in the first quadrant enclosed by the graphs of y = e − x , y = 1 - cos x, and the y-axis, as shown in the figure above. (a) Find the area of the region R. (b) Find the volume of the solid generated when the region R is revolved about the x-axis. (c) The region R is the base of a solid. For this solid, each cross section perpendicular to the x-axis is a square. Find the volume of this solid. Copyright © 2000 College Entrance Examination Board and Educational Testing Service. All rights reserved. AP is a registered trademark of the College Entrance Examination Board. GO ON TO THE NEXT PAGE. -2- 2000 AP® CALCULUS AB FREE-RESPONSE QUESTIONS 2. Two runners, A and B, run on a straight racetrack for 0 ≤ t ≤ 10 seconds. The graph above, which consists of two line segments, shows the velocity, in me...
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